Question 62384
twice the lesser of two consecutive intergers is 12 less than 3 times the greater interger find the lesser interger
Let the first integer be: x
Then the second integer is:x+1
Twice the lesser is:2x
12 less than 3 times the greater is: 3(x+1)-12
is means:=
2x=3(x+1)-12
2x=3x+3-12
2x=3x-9
2x-3x=-3x+3x-9
-x=-9
-x/-1=-9/-1
x=9
The lesser integer is 9
Sanity check:
If the smaller integer is 9, then the greater integer is 10. Is twice the smaller integer equal to 3 times the greater integer less 12?
2(9)=3(10)-12
18=30-12
18=18  Looks good.
Happy Calculating!!!